Higher Spin Symmetry and N = 4 SYM

By N. Beisert, M. Bianchi, J. F. Morales, H. Samtleben. 2004

138 citations recorded by the source corpus.

We assemble the spectrum of single-trace operators in free N = 4 SU(N) SYM theory into irreducible representations of the Higher Spin symmetry algebra hs(2,2|4). Higher Spin representations or YT-pletons are associated to Young tableaux (YT) corresponding to representations of the symmetric group compatible with the cyclicity of color traces. After turning on interactions gYM 6 0, YT-pletons decompose into infinite towers of representations of the superconformal algebra psu(2,2|4) and anomalous dimensions are generated. We work out the decompositions of tripletons with respect to the N = 4 superconformal algebra psu(2,2|4) and compute their anomalous dimensions to lowest non-trivial order in g 2 YMN at large N. We then focus on operators/states sitting in semishort multiplets of psu(2,2|4). By passing them through a semishort-sieve that removes superdescendants, we derive compact expressions for the partition function of semishort primaries.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/13894d1a1a681fd5e4edc0c067552af177d8e906

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In Geometry and Topology

1. M. Gaberdiel
2. Rajesh Gopakumar
3. Xi Yin
4. J. Maldacena
5. S. Giombi
6. Shiraz Minwalla
7. T. Brown
8. P. Heslop

In Nuclear and High Energy Physics

1. Rajesh Gopakumar
2. S. Giombi
3. M. Gaberdiel
4. Xi Yin
5. Eric Perlmutter
6. J. Maldacena
7. S. Raju
8. Shiraz Minwalla

Citations in the corpus

• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability (2004, background): “For states of length L = 3 the following multiplets are found within a trace [103]”
• Higher spins & strings (2014, background): “The organisation of stringy states into multiplets of the higher spin symmetry algebra was something that was proposed for the free 4d N = 4 Yang-Mills spectrum in [66, 67, 68], and there are some interesting similarities with what we find — in particular, the representations are also organised in t”
• An Index for 4 Dimensional Super Conformal Theories (2005, background): “Further studies on the spectrum of free Yang Mills can be found in [32,33,34,35].”
• Diagonal free field matrix correlators, global symmetries and giant gravitons (2008, methodology): “) The lowest weight states of these representations were decscribed in[27].”
• Higher spin gauge theory and holography: the three-point functions (2009, background): “On the other hand, a weakly coupled large N gauge theory is expected to be dual to a weakly coupled string theory in AdS space of small radius compared to the string length scale (see for instance [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]).”